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Rational Exponents and Functions

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Part 1: Using the Library, web resources, and/or other materials, find the average weight in pounds of a type of bird of your choice. Use the rational exponent equation L = 2.43 * W^0.3326 to estimate the wingspan L in feet of the bird that weighs W pounds (Rockswold, 2006). Include in your post the type of bird and the average weight and show the calculations necessary to find the approximate wingspan.

In case conversions are necessary, 16 oz is 1 pound; 1 kg = 2.2 pounds.

Be sure to reference all sources using APA style.

Part 2: An application of a rational function is T = (AB)/(A+B), which gives the time, T, it takes for two workers to complete a particular task where A & B represent the time it would take for each individual worker to complete the identical task.

Estimate how long it takes you to complete a task of your choice (house cleaning, mowing, etc.) in a given week. Suppose that Joe is slower than you at the given task and takes three times as long as you do. If you work together, how long would it take you to complete the task?

Include the type of job, the time it takes you and Joe individually to complete the job, and the calculations needed to show how long it would take to complete the job if you worked together. Include units with your answer.

Reference

Rockswold, G. (2006). College algebra with modeling and visualization (3rd ed.). Boston, MA: Addison-Wesley.

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Solution Summary

This solution utilizes the rational function using step by step calculations and explanation to arrive at the answers for the questions.

Solution Preview

For part 1, you first need to determine which bird you want to use for the project. To do this, I went to http://www.google.com and typed in bird weight in pounds. I liked http://www.dec.ny.gov/docs/administration_pdf/birds.pdf to find the weights of birds. I decided to use the Ring-necked Pheasant, which weighs between 2.5 and 4.5 pounds.

Looking at the rational exponent equation given, I determined I needed a specific weight to use. ...

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